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Finding the Fourth Proportional to 5,283.60, 7,906.68 and 3,893.64

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Solution

The fourth proportional to 5,283.60, 7,906.68 and 3,893.64 is: 5,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.60 : 7,906.68 = 3,893.64 : x
  2. Step 2: Convert to fraction form
    5,283.60/7,906.68 = 3,893.64/x
  3. Step 3: Cross multiply
    5,283.60x = 7,906.68 × 3,893.64
  4. Step 4: Simplify right side
    5,283.60x = 30,785,765.52
  5. Step 5: Solve for x
    x = 30,785,765.52/5,283.60
  6. Step 6: Final answer
    x = 5,826.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.